find the quantity of salt costing rs.15.30 per kg that should be mixed with 15kg of salt costing rs.22.50 per kg so that the mixture is worth rs.18 per kg.
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Let this quantity of salt be x
If we mix the two salts, then their total prices divided by their total weight should be equal to Rs.18
Total weight of the salt = (x+15) kg
Therefore:
15kg × rs. 22.50/kg + (x × 15.3) = 18/kg × (x+15)
(15×22.5) +(15.3x) = 18(x+15)
337.5 + 15.3x = 18x + 270
18x-15.3x = 337.5 -270
2.7x = 67.5
x= 67.5/2.7
x= 25
Therefore the weight of the salt that needs to be mixed is 25kg
If we mix the two salts, then their total prices divided by their total weight should be equal to Rs.18
Total weight of the salt = (x+15) kg
Therefore:
15kg × rs. 22.50/kg + (x × 15.3) = 18/kg × (x+15)
(15×22.5) +(15.3x) = 18(x+15)
337.5 + 15.3x = 18x + 270
18x-15.3x = 337.5 -270
2.7x = 67.5
x= 67.5/2.7
x= 25
Therefore the weight of the salt that needs to be mixed is 25kg
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